Group actions on 1-manifolds: a list of very concrete open questions

TL;DR

This paper presents a detailed list of open questions in the study of group actions on 1-manifolds, aiming to clarify current challenges and guide future research in the field.

Contribution

It provides a comprehensive, well-referenced compilation of open problems in group actions on 1-manifolds, serving as a valuable resource for researchers.

Findings

Compilation of key open questions in the field

Detailed discussion and references for each question

Clarifies the current landscape of research challenges

Abstract

This text focuses on actions on 1-manifolds. We present a (non exhaustive) list of very concrete open questions in the field, each of which is discussed in some detail and complemented with a large list of references, so that a clear panorama on the subject arises from the lecture.